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# Algebraic_Properties

### practice recognizing & using commutative, associative, & distributive properties

Question | Answer |
---|---|

Associative Property | When adding and multiplying, you can move the parentheses to regroup the terms without changing the sum or product. |

Commutative Property | When adding or multiplying, changing the order of the addends or factors does not change the sum or product. |

Distributive Property | The product of a number and a sum is the same as adding the products when you multiply the number by each addend. |

Identity Property of Multiplication | When a number is multiplied by one the result is the number itself. |

Identify the property demonstrated by 3x + (7 + y) = (3x + 7) + y | Associative Property |

Identify the property demonstrated by 3(xy) = (3x)y | Associative Property |

Identify the property demonstrated by 6(x - 9) = 6x -54 | Distributive Property |

Identify the property demonstrated by x(-3x + 5) = -3x^2 + 5x | Distributive Property |

Identify the property demonstrated by 4 + 7 = 7 + 4 | Commutative Property |

Identify the property demonstrated by abc = cab | Commutative Property |

Expand the following expression using the Distributive Property: -9x(x + 3) | -9x^2 - 27x |

Expand the following expression using the Distributive Property: 3(x - 1) | 3x - 3 |

Rewrite the following expression using the Commutative Property: -6 + t | t + -6 or t -6 |

Rewrite the following expression using the Commutative Property: (-2)(3)(-4) | multiple correct answers including: (3)(-2)(-4) or (-2)(-4)(3) or (-4)(3)(-2) |

Rewrite the following expression using the Associative Property: (5 + t) + 19 | 5 + (t + 19) |

Rewrite the following expression using the Associative Property: (ab)c | a(bc) |

Created by:
r_brown